Given numbers are 327,476,208,733,514

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 327,476,208,733,514 is 1524737729424.

Find LCM of 327,476,208,733,514 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 327 x 119 x 52 x 733 x 257 = 1524737729424

Therefore, the lowest common multiple of 327,476,208,733,514 is 1524737729424.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

327 x 476 x 208 x 733 x 514 = 12197901835392

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

327 : 1, 3, 109, 327

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

733 : 1, 733

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,476,208,733,514, is 1.

Now, the common factors can be found like this.

327:3x 109

476:2x 2x 7x 17

208:2x 2x 2x 2x 13

733:733

514:2x 257

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2 = 8

Therefore, the value for common factors is 8.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 12197901835392/(1x8)

LCM = 12197901835392/8

LCM = 1524737729424

Thus, we can understand that the LCM of 327,476,208,733,514 is 1524737729424.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 327, 151, 985, 184, 548
• LCM of 801, 470, 286, 382, 324
• LCM of 448, 974, 587, 361, 425
• LCM of 586, 959, 985, 908, 104
• LCM of 366, 708, 336, 946, 482

1. What is the LCM of 327, 476, 208, 733, 514?

Answer: LCM of 327, 476, 208, 733, 514 is 1524737729424.

2. How to calculate the LCM of 327, 476, 208, 733, 514?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 327, 476, 208, 733, 514.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.